Solve for x
x=6
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\left(x+1\right)\left(-2\right)+\left(x-1\right)\times 3=1
Variable x cannot be equal to any of the values -1,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+1\right), the least common multiple of x-1,x+1,x^{2}-1.
-2x-2+\left(x-1\right)\times 3=1
Use the distributive property to multiply x+1 by -2.
-2x-2+3x-3=1
Use the distributive property to multiply x-1 by 3.
x-2-3=1
Combine -2x and 3x to get x.
x-5=1
Subtract 3 from -2 to get -5.
x=1+5
Add 5 to both sides.
x=6
Add 1 and 5 to get 6.
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